Bose AE2w Bluetooth Headphones. what you mean Bose don’t have a wireless headphone? yes. until now. this is the first wireless cans for the Massachusetts-based audio equipment maker. no specs, but it has what the AE2 has: the proprietary TriPort technology, and has a rather awkward, protruding Bluetooth control module. it can be connected to two devices simultaneously and seamlessly switch between watching video on your iPad and taking of calls on your iPhone. $249.95.